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Finding the Fourth Proportional to 81,762.60, 122,674.14 and 35,051.88

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Solution

The fourth proportional to 81,762.60, 122,674.14 and 35,051.88 is: 52,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,762.60 : 122,674.14 = 35,051.88 : x
  2. Step 2: Convert to fraction form
    81,762.60/122,674.14 = 35,051.88/x
  3. Step 3: Cross multiply
    81,762.60x = 122,674.14 × 35,051.88
  4. Step 4: Simplify right side
    81,762.60x = 4,299,959,234.38
  5. Step 5: Solve for x
    x = 4,299,959,234.38/81,762.60
  6. Step 6: Final answer
    x = 52,590.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.